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把下列各式分解因式 4x^3-x (x+y)^2-9x^2 x^2-y^2+2(x-y) 8(x^2-2y^2)-x(7x+y)+xy、
对于因式分解真的是没有弄懂.这四个题目,
人气:386 ℃ 时间:2020-05-05 19:36:07
解答
4x^3-x
=x(4x²-1)
=x(2x-1)(2x+1)
(x+y)^2-9x^2
=(x+y-3x)(x+y+3x)
=(y-2x)(y+4x)
x^2-y^2+2(x-y)
=(x-y)(x+y)+2(x-y)
=(x-y)(x+y+2)
8(x^2-2y^2)-x(7x+y)+xy、
=8x²-16y²-7x²-xy+xy
=x²-16y²
=(x-4y)(x+4y)
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